`If tan alpha = (x sin beta)/(1-x cos beta) " and " tan beta = (y sin alpha)/(1-y cos alpha),"show that", (sin alpha)/(sin beta) = x/y`.

If tan beta = (n sin alpha cos alpha)/(1-n sin^(2) alpha), "show that", tan (alpha - beta) = (1 - n) tan alpha.

If x cos alpha + y sin alpha = x cos beta + y sin beta = 2a then cos alpha cos beta =

If tan beta=(n sin alpha cos alpha)/(1-n sin^(2)alpha), show that tan(alpha-beta)=(1-n)tan alpha

If tan beta=(n sin alpha cos alpha)/(1-n sin^(2)alpha), show that tan(alpha-beta)=(1-n)tan alpha

If tan theta = (x sin alpha + y sin beta)/(x cos alpha + y cos beta), "prove that " x sin (theta - alpha) + y sin (theta - beta) = 0

(cos alpha + cos beta)/( sin alpha - sin beta) + (sin alpha + sin beta)/( cos alpha - cos beta ) =

If sin beta = 1/5 sin(2alpha +beta) , show that tan(alpha +beta) = 3/2 tan alpha .

sin alpha sin beta-cos alpha cos beta=1 then show that tan alpha+tan beta=0

If tan theta = ( tan alpha - tan beta)/(1-tan alpha tan beta),"show that", sin 2 theta=(sin 2 alpha- sin 2 beta)/(1- sin2 alpha sin 2 beta).

If x cos alpha + y sin alpha=x cos beta+y sin beta,"show that",y=x "tan"(alpha+beta)/2